GCF of 587/731, 846/709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 587/731, 846/709 i.e 1/518279 easily. The following is the detailed procedure to determine the greatest common factor of fractions 587/731, 846/709.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 587/731,846/709?
Given fractions are 587/731,846/709
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 587/731,846/709, numerators are 587,846
Denominators are 731,709
The GCF of 587,846 is 1 .
LCM of 731,709 is 518279.
The greatest common factor of 587/731,846/709 = [GCF of 587,846]/[LCM of 731,709]= 1/518279
Therefore, the GCF of 587/731,846/709 is 1/518279.
To find the highest common factor of 587,846, we have to find the factors of both numbers and list the highest common factor.
The factors of 587 are 1, 587
The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
The HCF of 587,846 is 1.
Lets's calculate GCF of 587,846
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 587,846 By Matching Biggest Common Factor Method
Now, list down the factors of 587
:1,587
Now, list down the factors of 846
:1,2,3,6,9,18,47,94,141,282,423,846
Greatest Common Factor
We found the factors 587,846 . The biggest common factor number is the GCF number.
So the greatest common factor 587,846 is 1.
Lets's calculate LCM of 731,709
Given numbers has no common factors except 1. So, there LCM is their product i.e 518279
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/518279
Therefore, the GCF of Fractions 587/731,846/709 is 1/518279
Least Common Multiple of 731,709 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 731,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(731,709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(731,709) x common factors =1 x 1 = 1
LCM(731,709) = ( 731 × 709 ) / 1
LCM(731,709) = 518279 / 1
LCM(731,709) = 518279
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FAQs on GCF of Fractions of 587/731, 846/709
1. What is the HCF of 587,846?
The HCF of 587,846 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 587/731, 846/709?
Answer: GCF of Numerators as per given numbers 587/731, 846/709 is
GCF of Numerators i.e. for 587,846 is 1
LCM of denominators i.e. for 731,709 is 518279.
Thus, GCF of Fractions is 1/518279.Finally, GCF of Fractions for 587/731, 846/709 is 1/518279.